no. 21-22
Analytic Geometry
Semistability of invariant bundles over G/Γ
[Semi-stabilité de fibrés invariants sur G/Γ]

Présenté par : Jean-Pierre Demailly

Biswas, Indranil1
1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
Comptes Rendus. Mathématique, Tome 349 (2011) no. 21-22, pp. 1187-1190.

Soit Γ un sous-groupe discret cocompact dʼun groupe algébique réductif affine G. Nous démontrons que tout fibré invariant sur G/Γ est semi-stable.

Let G be a connected reductive affine algebraic group defined over C, and let Γ be a cocompact lattice in G. We prove that any invariant bundle on G/Γ is semistable.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.10.022
Biswas, Indranil 1

1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India 
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Biswas, Indranil. Semistability of invariant bundles over $ G/\Gamma $. Comptes Rendus. Mathématique, Tome 349 (2011) no. 21-22, pp. 1187-1190. doi : 10.1016/j.crma.2011.10.022. http://www.numdam.org/articles/10.1016/j.crma.2011.10.022/

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